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erik [133]
2 years ago
7

X^2+2x+1 is a perfect square trinomial True of False?

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
4 0

Answer:

True.

Step-by-step explanation:

It is because it is in the form a^2x^2+2abx+b^2 and this equals (ax+b)^2.

Why it is in that form:  well comparing  a^2x^2+2abx+b^2, we have a=1, b=1. Testing, plug in those values:

(1)^2x^2+2(1)(1)x+(1)^2

1x^2+2x+1

x^2+2x+1.

This has the squared form of (x+1)^2.

Test if you like:

(x+1)^2

(x+1)(x+1)

Use foil to expand:

First: x(x)=x^2

Outer: x(1)=x

Inner: 1(x)=x

Last: 1(1)=1

---------------Add together

x^2+2x+1

It does indeed equal.

You might be interested in
Use the standard algorithm to find the product of 853 and 59. Record the product of multiplying by the ones digit, the product o
bearhunter [10]

The product of multiplying the ones digit of 59 by 853 is 7677 and the product of multiplying the tens digit of 59 by 853 is 42650 and the final product is 50327

<h3>How to determine the product of the numbers?</h3>

The numbers are given as

853 and 59

By using the standard algorithm i.e. the partial product method, we have the following equation

853 * 59 = 853 * (50 + 9)

Open the bracket

So, we have

853 * 59 = 853 * 50 + 853 * 9

Evaluate the products

So, we have

853 * 59 = 42650 + 7677

The above means that the product of multiplying the ones digit of 59 by 853 is 7677 and the product of multiplying the tens digit of 59 by 853 is 42650

Next, we evaluate the sum

853 * 59 = 50327

This means that the final product is 50327

Read more about products at

brainly.com/question/10873737

#SPJ1

4 0
1 year ago
What steps do i take to prove this? i have a few more
Maksim231197 [3]

Answer:

They are opposite angles. If you rotate the figure SQM 180 degrees counter clockwise, they will be the exact same triangle and therefore the exact same measure.

Step-by-step explanation:

5 0
2 years ago
How many times does 20 go into 190
mihalych1998 [28]
It will go in it 9 times cause  9*20=180
4 0
2 years ago
Read 2 more answers
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 335335 babies were​ born
strojnjashka [21]

Answer:

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

Step-by-step explanation:

Confidence Interval for the proportion:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 335, \pi = \frac{268}{335} = 0.8

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.7437

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.8563

For the percentage:

Multiplying the proportions by 100.

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

7 0
3 years ago
Round and estimate 0.9% of 74
skelet666 [1.2K]
The answer is 6.7 bc .09 times 74 equals 6.66 so you round the 6 to a 7.
7 0
3 years ago
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